Search a number
-
+
210153052343040 = 2835520271051903
BaseRepresentation
bin101111110010001000010010…
…000010001000101100000000
31000120002102202112211220202120
4233302020102002020230000
5210021121422344434130
62022542551321244240
762160025355302512
oct5762102202105400
91016072675756676
10210153052343040
1160a63455406a74
121b6a10a0033680
13903546a176aa1
1439c7667a53bb2
15194686aa44910
hexbf2212088b00

210153052343040 has 144 divisors (see below), whose sum is σ = 671189849530368. Its totient is φ = 56039683534848.

The previous prime is 210153052343029. The next prime is 210153052343071. The reversal of 210153052343040 is 40343250351012.

It is a junction number, because it is equal to n+sod(n) for n = 210153052342992 and 210153052343010.

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, 199257729 + ... + 200309631.

Almost surely, 2210153052343040 is an apocalyptic number.

210153052343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210153052343040 is an abundant number, since it is smaller than the sum of its proper divisors (461036797187328).

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

210153052343040 is a wasteful number, since it uses less digits than its factorization.

210153052343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103954 (or 1103940 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 210153052343040 in words is "two hundred ten trillion, one hundred fifty-three billion, fifty-two million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 52027 104054 156081 208108 260135 312162 416216 520270 624324 780405 832432 1040540 1051903 1248648 1560810 1664864 2081080 2103806 2497296 3121620 3155709 3329728 4162160 4207612 4994592 5259515 6243240 6311418 6659456 8324320 8415224 9989184 10519030 12486480 12622836 13318912 15778545 16648640 16830448 19978368 21038060 24972960 25245672 31557090 33297280 33660896 39956736 42076120 49945920 50491344 63114180 66594560 67321792 84152240 99891840 100982688 126228360 134643584 168304480 199783680 201965376 252456720 269287168 336608960 403930752 504913440 673217920 807861504 1009826880 1346435840 2019653760 4039307520 54727357381 109454714762 164182072143 218909429524 273636786905 328364144286 437818859048 547273573810 656728288572 820910360715 875637718096 1094547147620 1313456577144 1641820721430 1751275436192 2189094295240 2626913154288 3283641442860 3502550872384 4378188590480 5253826308576 6567282885720 7005101744768 8756377180960 10507652617152 13134565771440 14010203489536 17512754361920 21015305234304 26269131542880 35025508723840 42030610468608 52538263085760 70051017447680 105076526171520 210153052343040