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734716152040 = 235131997766639
BaseRepresentation
bin10101011000100000111…
…11101100100011101000
32121020102122001122110211
422230100133230203220
544014144313331130
61321305100550504
7104036644151533
oct12542037544350
92536378048424
10734716152040
11263656128542
12ba486b52434
135438b929940
14277bbc43a1a
15141a1c69a2a
hexab107ec8e8

734716152040 has 128 divisors (see below), whose sum is σ = 1893294144000. Its totient is φ = 254352089088.

The previous prime is 734716152019. The next prime is 734716152061. The reversal of 734716152040 is 40251617437.

It is an interprime number because it is at equal distance from previous prime (734716152019) and next prime (734716152061).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 734716151984 and 734716152002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 575041 + ... + 1341679.

It is an arithmetic number, because the mean of its divisors is an integer number (14791360500).

Almost surely, 2734716152040 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 734716152040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946647072000).

734716152040 is an abundant number, since it is smaller than the sum of its proper divisors (1158577991960).

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

734716152040 is a wasteful number, since it uses less digits than its factorization.

734716152040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766779 (or 766775 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

Adding to 734716152040 its reverse (40251617437), we get a palindrome (774967769477).

The spelling of 734716152040 in words is "seven hundred thirty-four billion, seven hundred sixteen million, one hundred fifty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 97 104 130 152 190 194 247 260 380 388 485 494 520 760 776 970 988 1235 1261 1843 1940 1976 2470 2522 3686 3880 4940 5044 6305 7372 9215 9880 10088 12610 14744 18430 23959 25220 36860 47918 50440 73720 95836 119795 191672 239590 479180 766639 958360 1533278 3066556 3833195 6133112 7666390 9966307 14566141 15332780 19932614 29132282 30665560 39865228 49831535 58264564 72830705 74363983 79730456 99663070 116529128 145661410 148727966 189359833 199326140 291322820 297455932 371819915 378719666 398652280 582645640 594911864 743639830 757439332 946799165 966731779 1412915677 1487279660 1514878664 1893598330 1933463558 2825831354 2974559320 3787196660 3866927116 4833658895 5651662708 7064578385 7574393320 7733854232 9667317790 11303325416 14129156770 18367903801 19334635580 28258313540 36735807602 38669271160 56516627080 73471615204 91839519005 146943230408 183679038010 367358076020 734716152040