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141493608 = 233319231499
BaseRepresentation
bin10000110111100…
…00010101101000
3100212020121202000
420123300111220
5242210243413
622012411000
73335450544
oct1033602550
9325217660
10141493608
1172962273
123b476a60
1323411139
1414b12a24
15c64e073
hex86f0568

141493608 has 128 divisors (see below), whose sum is σ = 432000000. Its totient is φ = 42710976.

The previous prime is 141493591. The next prime is 141493613. The reversal of 141493608 is 806394141.

141493608 is a `hidden beast` number, since 1 + 4 + 1 + 49 + 3 + 608 = 666.

It is a super-3 number, since 3×1414936083 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93643 + ... + 95141.

It is an arithmetic number, because the mean of its divisors is an integer number (3375000).

Almost surely, 2141493608 is an apocalyptic number.

141493608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141493608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000000).

141493608 is an abundant number, since it is smaller than the sum of its proper divisors (290506392).

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

141493608 is a wasteful number, since it uses less digits than its factorization.

141493608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 141493608 is about 11895.1085745360. The cubic root of 141493608 is about 521.0894417762.

The spelling of 141493608 in words is "one hundred forty-one million, four hundred ninety-three thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 23 24 27 36 38 46 54 57 69 72 76 92 108 114 138 152 171 184 207 216 228 276 342 414 437 456 513 552 621 684 828 874 1026 1242 1311 1368 1499 1656 1748 2052 2484 2622 2998 3496 3933 4104 4497 4968 5244 5996 7866 8994 10488 11799 11992 13491 15732 17988 23598 26982 28481 31464 34477 35976 40473 47196 53964 56962 68954 80946 85443 94392 103431 107928 113924 137908 161892 170886 206862 227848 256329 275816 310293 323784 341772 413724 512658 620586 655063 683544 768987 827448 930879 1025316 1241172 1310126 1537974 1861758 1965189 2050632 2482344 2620252 3075948 3723516 3930378 5240504 5895567 6151896 7447032 7860756 11791134 15721512 17686701 23582268 35373402 47164536 70746804 141493608