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40505311034240 = 275134868426807
BaseRepresentation
bin10010011010110111000001…
…01011001111101110000000
312022102021021202210012212212
421031123200223033232000
520302114334111043430
6222051514421241252
711350261240005053
oct1115334053175600
9168367252705785
1040505311034240
11119a722a120168
12466224a863228
13197a832b36440
14a00678c06a9a
154a3981c44b95
hex24d6e0acfb80

40505311034240 has 64 divisors (see below), whose sum is σ = 104281702227360. Its totient is φ = 14955807148032.

The previous prime is 40505311034239. The next prime is 40505311034249. The reversal of 40505311034240 is 4243011350504.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 40505311034197 and 40505311034206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40505311034249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434205084 + ... + 2434221723.

Almost surely, 240505311034240 is an apocalyptic number.

40505311034240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40505311034240 is an abundant number, since it is smaller than the sum of its proper divisors (63776391193120).

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

40505311034240 is a wasteful number, since it uses less digits than its factorization.

40505311034240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868426839 (or 4868426827 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 40505311034240 its reverse (4243011350504), we get a palindrome (44748322384744).

The spelling of 40505311034240 in words is "forty trillion, five hundred five billion, three hundred eleven million, thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 4868426807 9736853614 19473707228 24342134035 38947414456 48684268070 63289548491 77894828912 97368536140 126579096982 155789657824 194737072280 253158193964 311579315648 316447742455 389474144560 506316387928 623158631296 632895484910 778948289120 1012632775856 1265790969820 1557896578240 2025265551712 2531581939640 3115793156480 4050531103424 5063163879280 8101062206848 10126327758560 20252655517120 40505311034240