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141413443340032 = 283771388154181
BaseRepresentation
bin100000001001110101100010…
…000011101000011100000000
3200112200222211000020202201201
4200021311202003220130000
5122013404212443340112
61220432234455110544
741533532645324233
oct4011654203503400
9615628730222651
10141413443340032
1141071117140906
1213a3aa58072454
1360ba2cc4c3736
1426cc6390a941a
15115374c973257
hex809d620e8700

141413443340032 has 144 divisors (see below), whose sum is σ = 294067856666304. Its totient is φ = 67808047104000.

The previous prime is 141413443340021. The next prime is 141413443340089. The reversal of 141413443340032 is 230043344314141.

It is a super-2 number, since 2×1414134433400322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a junction number, because it is equal to n+sod(n) for n = 141413443339973 and 141413443340000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2609991982 + ... + 2610046162.

It is an arithmetic number, because the mean of its divisors is an integer number (2042137893516).

Almost surely, 2141413443340032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141413443340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147033928333152).

141413443340032 is an abundant number, since it is smaller than the sum of its proper divisors (152654413326272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141413443340032 is an equidigital number, since it uses as much as digits as its factorization.

141413443340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58186 (or 58172 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 141413443340032 its reverse (230043344314141), we get a palindrome (371456787654173).

The spelling of 141413443340032 in words is "one hundred forty-one trillion, four hundred thirteen billion, four hundred forty-three million, three hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 37 64 71 74 128 142 148 256 284 296 568 592 1136 1184 2272 2368 2627 3881 4544 4736 5254 7762 9088 9472 10508 15524 18176 21016 31048 42032 54181 62096 84064 108362 124192 143597 168128 216724 248384 275551 287194 336256 433448 496768 551102 574388 672512 866896 993536 1102204 1148776 1733792 2004697 2204408 2297552 3467584 3846851 4009394 4408816 4595104 6935168 7693702 8018788 8817632 9190208 10195387 13870336 15387404 16037576 17635264 18380416 20390774 30774808 32075152 35270528 36760832 40781548 61549616 64150304 70541056 81563096 123099232 128300608 142333487 163126192 210276461 246198464 256601216 284666974 326252384 420552922 492396928 513202432 569333948 652504768 841105844 984793856 1138667896 1305009536 1682211688 2277335792 2610019072 3364423376 4554671584 6728846752 7780229057 9109343168 13457693504 14929628731 15560458114 18218686336 26915387008 29859257462 31120916228 36437372672 53830774016 59718514924 62241832456 119437029848 124483664912 238874059696 248967329824 477748119392 497934659648 552396263047 955496238784 995869319296 1104792526094 1910992477568 1991738638592 2209585052188 3821984955136 4419170104376 8838340208752 17676680417504 35353360835008 70706721670016 141413443340032