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2434104213040 = 245414243174901
BaseRepresentation
bin100011011010111011111…
…010101011111000110000
322121200211220111202012101
4203122323322223320300
5304340021134304130
65102113444510144
7340600241301433
oct43327372537060
98550756452171
102434104213040
1185933040a215
123338b46ab354
131486c5646516
1485b501bb81a
15434b39ad1ca
hex236bbeabe30

2434104213040 has 80 divisors (see below), whose sum is σ = 5798723295456. Its totient is φ = 949665024000.

The previous prime is 2434104213031. The next prime is 2434104213067. The reversal of 2434104213040 is 403124014342.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13829590 + ... + 14004490.

Almost surely, 22434104213040 is an apocalyptic number.

2434104213040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2434104213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899361647728).

2434104213040 is an abundant number, since it is smaller than the sum of its proper divisors (3364619082416).

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

2434104213040 is a wasteful number, since it uses less digits than its factorization.

2434104213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179198 (or 179192 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2434104213040 its reverse (403124014342), we get a palindrome (2837228227382).

The spelling of 2434104213040 in words is "two trillion, four hundred thirty-four billion, one hundred four million, two hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 4243 8486 16972 21215 33944 42430 67888 84860 169720 173963 174901 339440 347926 349802 695852 699604 869815 874505 1391704 1399208 1739630 1749010 2783408 2798416 3479260 3498020 6958520 6996040 7170941 13917040 13992080 14341882 28683764 35854705 57367528 71709410 114735056 143418820 286837640 573675280 742104943 1484209886 2968419772 3710524715 5936839544 7421049430 11873679088 14842098860 29684197720 30426302663 59368395440 60852605326 121705210652 152131513315 243410421304 304263026630 486820842608 608526053260 1217052106520 2434104213040