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141247368 = 233319127271
BaseRepresentation
bin10000110101101…
…00001110001000
3100211210002222000
420122310032020
5242124403433
622003231000
73333403623
oct1032641610
9324702860
10141247368
1172804269
123b378460
1323356032
1414a8adba
15c601113
hex86b4388

141247368 has 128 divisors (see below), whose sum is σ = 417792000. Its totient is φ = 44089920.

The previous prime is 141247367. The next prime is 141247369. The reversal of 141247368 is 863742141.

It is an interprime number because it is at equal distance from previous prime (141247367) and next prime (141247369).

It is a super-4 number, since 4×1412473684 (a number of 34 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (141247367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521073 + ... + 521343.

It is an arithmetic number, because the mean of its divisors is an integer number (3264000).

Almost surely, 2141247368 is an apocalyptic number.

141247368 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 141247368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208896000).

141247368 is an abundant number, since it is smaller than the sum of its proper divisors (276544632).

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

141247368 is a wasteful number, since it uses less digits than its factorization.

141247368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 422 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 141247368 is about 11884.7535944167. The cubic root of 141247368 is about 520.7869838961.

The spelling of 141247368 in words is "one hundred forty-one million, two hundred forty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 127 152 171 216 228 254 271 342 381 456 508 513 542 684 762 813 1016 1026 1084 1143 1368 1524 1626 2052 2168 2286 2413 2439 3048 3252 3429 4104 4572 4826 4878 5149 6504 6858 7239 7317 9144 9652 9756 10298 13716 14478 14634 15447 19304 19512 20596 21717 27432 28956 29268 30894 34417 41192 43434 46341 57912 58536 61788 65151 68834 86868 92682 103251 123576 130302 137668 139023 173736 185364 206502 260604 275336 278046 309753 370728 413004 521208 556092 619506 653923 826008 929259 1112184 1239012 1307846 1858518 1961769 2478024 2615692 3717036 3923538 5231384 5885307 7434072 7847076 11770614 15694152 17655921 23541228 35311842 47082456 70623684 141247368