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35013045040000 = 27541074090309
BaseRepresentation
bin1111111011000000111000…
…00111001011001110000000
311120222012210022100120121221
413331200130013023032000
514042123204012240000
6202244434300124424
710242415616225056
oct775403407131600
9146865708316557
1035013045040000
1110179a49156205
123b15919b36714
13166c940014aa1
148908d74641d6
1540ab8289761a
hex1fd81c1cb380

35013045040000 has 160 divisors (see below), whose sum is σ = 87977414309400. Its totient is φ = 13874324736000.

The previous prime is 35013045039991. The next prime is 35013045040031. The reversal of 35013045040000 is 4054031053.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6514846 + ... + 10605154.

Almost surely, 235013045040000 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 35013045040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43988707154700).

35013045040000 is an abundant number, since it is smaller than the sum of its proper divisors (52964369269400).

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

35013045040000 is an equidigital number, since it uses as much as digits as its factorization.

35013045040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090450 (or 4090423 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 35013045040000 its reverse (4054031053), we get a palindrome (35017099071053).

The spelling of 35013045040000 in words is "thirty-five trillion, thirteen billion, forty-five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 107 125 128 160 200 214 250 320 400 428 500 535 625 640 800 856 1000 1070 1250 1600 1712 2000 2140 2500 2675 3200 3424 4000 4280 5000 5350 6848 8000 8560 10000 10700 13375 13696 16000 17120 20000 21400 26750 34240 40000 42800 53500 66875 68480 80000 85600 107000 133750 171200 214000 267500 342400 428000 535000 856000 1070000 1712000 2140000 4090309 4280000 8180618 8560000 16361236 20451545 32722472 40903090 65444944 81806180 102257725 130889888 163612360 204515450 261779776 327224720 409030900 437663063 511288625 523559552 654449440 818061800 875326126 1022577250 1308898880 1636123600 1750652252 2045154500 2188315315 2556443125 2617797760 3272247200 3501304504 4090309000 4376630630 5112886250 6544494400 7002609008 8180618000 8753261260 10225772500 10941576575 13088988800 14005218016 16361236000 17506522520 20451545000 21883153150 28010436032 32722472000 35013045040 40903090000 43766306300 54707882875 56020872064 65444944000 70026090080 81806180000 87532612600 109415765750 140052180160 163612360000 175065225200 218831531500 273539414375 280104360320 327224720000 350130450400 437663063000 547078828750 700260900800 875326126000 1094157657500 1400521801600 1750652252000 2188315315000 3501304504000 4376630630000 7002609008000 8753261260000 17506522520000 35013045040000