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141055417734 = 237112131211877
BaseRepresentation
bin1000001101011110001…
…1101101110110000110
3111111002101122122200220
42003113203231312012
54302340141331414
6144444443045210
713122325160640
oct2032743556606
9444071578626
10141055417734
1154904119100
1223407210806
13103bc43352a
146b81883890
153a086ecca9
hex20d78edd86

141055417734 has 96 divisors (see below), whose sum is σ = 357094096128. Its totient is φ = 36357921600.

The previous prime is 141055417703. The next prime is 141055417799. The reversal of 141055417734 is 437714550141.

It is a happy number.

It is a super-2 number, since 2×1410554177342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 559804 + ... + 771680.

It is an arithmetic number, because the mean of its divisors is an integer number (3719730168).

Almost surely, 2141055417734 is an apocalyptic number.

141055417734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 141055417734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178547048064).

141055417734 is an abundant number, since it is smaller than the sum of its proper divisors (216038678394).

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

141055417734 is a wasteful number, since it uses less digits than its factorization.

141055417734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212042 (or 212031 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

Adding to 141055417734 its reverse (437714550141), we get a palindrome (578769967875).

The spelling of 141055417734 in words is "one hundred forty-one billion, fifty-five million, four hundred seventeen thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 131 154 231 242 262 363 393 462 726 786 847 917 1441 1694 1834 2541 2751 2882 4323 5082 5502 8646 10087 15851 20174 30261 31702 47553 60522 95106 110957 211877 221914 332871 423754 635631 665742 1271262 1483139 2330647 2966278 4449417 4661294 6991941 8898834 13983882 16314529 25637117 27755887 32629058 48943587 51274234 55511774 76911351 83267661 97887174 153822702 166535322 179459819 194291209 305314757 358919638 388582418 538379457 582873627 610629514 915944271 1076758914 1165747254 1831888542 2137203299 3358462327 4274406598 6411609897 6716924654 10075386981 12823219794 20150773962 23509236289 47018472578 70527708867 141055417734