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156056044250040 = 233511196222330313
BaseRepresentation
bin100011011110111010100001…
…000101010010001110111000
3202110112210221001011020021020
4203132322201011102032320
5130423310234312000130
61311523053525542440
744604451153424544
oct4336724105221670
9673483831136236
10156056044250040
11457a6aa6674230
1215604859574a20
136910038c5862c
142a7721d586a24
1513095986d5e10
hex8deea11523b8

156056044250040 has 128 divisors (see below), whose sum is σ = 537609339129600. Its totient is φ = 35840622597120.

The previous prime is 156056044249993. The next prime is 156056044250047. The reversal of 156056044250040 is 40052440650651.

It is a junction number, because it is equal to n+sod(n) for n = 156056044249974 and 156056044250001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156056044250047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3111140077 + ... + 3111190236.

It is an arithmetic number, because the mean of its divisors is an integer number (4200072961950).

Almost surely, 2156056044250040 is an apocalyptic number.

156056044250040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156056044250040 is an abundant number, since it is smaller than the sum of its proper divisors (381553294879560).

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

156056044250040 is a wasteful number, since it uses less digits than its factorization.

156056044250040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6222330357 (or 6222330353 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 156056044250040 in words is "one hundred fifty-six trillion, fifty-six billion, forty-four million, two hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 2090 2280 2508 3135 4180 5016 6270 8360 12540 25080 6222330313 12444660626 18666990939 24889321252 31111651565 37333981878 49778642504 62223303130 68445633443 74667963756 93334954695 118224275947 124446606260 136891266886 149335927512 186669909390 205336900329 236448551894 248893212520 273782533772 342228167215 354672827841 373339818780 410673800658 472897103788 547565067544 591121379735 684456334430 709345655682 746679637560 821347601316 945794207576 1026684501645 1182242759470 1300467035417 1368912668860 1418691311364 1642695202632 1773364139205 2053369003290 2364485518940 2600934070834 2737825337720 2837382622728 3546728278410 3901401106251 4106738006580 4728971037880 5201868141668 6502335177085 7093456556820 7802802212502 8213476013160 10403736283336 13004670354170 14186913113640 15605604425004 19507005531255 26009340708340 31211208850008 39014011062510 52018681416680 78028022125020 156056044250040