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3427982023104 = 263313714480189
BaseRepresentation
bin110001111000100011101…
…001101001100111000000
3110010201012221221200221000
4301320203221221213000
5422131001344214404
611142443155332000
7502443406300302
oct61704351514700
913121187850830
103427982023104
111101887537201
124744482b1000
131bb346433662
14bbcb54c9972
155e282a02339
hex31e23a699c0

3427982023104 has 112 divisors (see below), whose sum is σ = 10151192397600. Its totient is φ = 1134320007168.

The previous prime is 3427982023057. The next prime is 3427982023121. The reversal of 3427982023104 is 4013202897243.

3427982023104 is a `hidden beast` number, since 3 + 42 + 7 + 98 + 202 + 310 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3427982023104.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7003359 + ... + 7476830.

Almost surely, 23427982023104 is an apocalyptic number.

It is an amenable number.

3427982023104 is an abundant number, since it is smaller than the sum of its proper divisors (6723210374496).

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

3427982023104 is a wasteful number, since it uses less digits than its factorization.

3427982023104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14480347 (or 14480331 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3427982023104 in words is "three trillion, four hundred twenty-seven billion, nine hundred eighty-two million, twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 137 144 192 216 274 288 411 432 548 576 822 864 1096 1233 1644 1728 2192 2466 3288 3699 4384 4932 6576 7398 8768 9864 13152 14796 19728 26304 29592 39456 59184 78912 118368 236736 14480189 28960378 43440567 57920756 86881134 115841512 130321701 173762268 231683024 260643402 347524536 390965103 463366048 521286804 695049072 781930206 926732096 1042573608 1390098144 1563860412 1983785893 2085147216 2780196288 3127720824 3967571786 4170294432 5951357679 6255441648 7935143572 8340588864 11902715358 12510883296 15870287144 17854073037 23805430716 25021766592 31740574288 35708146074 47610861432 53562219111 63481148576 71416292148 95221722864 107124438222 126962297152 142832584296 190443445728 214248876444 285665168592 380886891456 428497752888 571330337184 856995505776 1142660674368 1713991011552 3427982023104