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43134229530496 = 2713136120399341
BaseRepresentation
bin10011100111010111110000…
…11011011100011110000000
312122201120222121201221111001
421303223320123130132000
521123202400224433441
6231423331432301344
712041226263350636
oct1163537033343600
9178646877657431
1043134229530496
1112820140076825
124a07852241854
131b0b704317250
14a919ca49d356
154ec048788731
hex273af86dc780

43134229530496 has 128 divisors (see below), whose sum is σ = 92664919771200. Its totient is φ = 19881593241600.

The previous prime is 43134229530439. The next prime is 43134229530499. The reversal of 43134229530496 is 69403592243134.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43134229530499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4617726786 + ... + 4617736126.

Almost surely, 243134229530496 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 43134229530496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46332459885600).

43134229530496 is an abundant number, since it is smaller than the sum of its proper divisors (49530690240704).

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

43134229530496 is a wasteful number, since it uses less digits than its factorization.

43134229530496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12768 (or 12756 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 55.

The spelling of 43134229530496 in words is "forty-three trillion, one hundred thirty-four billion, two hundred twenty-nine million, five hundred thirty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1361 1664 2039 2722 4078 5444 8156 9341 10888 16312 17693 18682 21776 26507 32624 35386 37364 43552 53014 65248 70772 74728 87104 106028 121433 130496 141544 149456 174208 212056 242866 260992 283088 298912 424112 485732 566176 597824 848224 971464 1132352 1195648 1696448 1942928 2264704 2775079 3392896 3885856 5550158 7771712 11100316 12713101 15543424 19046299 22200632 25426202 36076027 38092598 44401264 50852404 72152054 76185196 88802528 101704808 144304108 152370392 165270313 177605056 203409616 247601887 288608216 304740784 330540626 355210112 406819232 495203774 577216432 609481568 661081252 813638464 990407548 1154432864 1218963136 1322162504 1627276928 1980815096 2308865728 2437926272 2644325008 3961630192 4617731456 5288650016 7923260384 10577300032 15846520768 21154600064 25922012939 31693041536 51844025878 103688051756 207376103512 336986168207 414752207024 673972336414 829504414048 1347944672828 1659008828096 2695889345656 3318017656192 5391778691312 10783557382624 21567114765248 43134229530496