Search a number
-
+
106453146250240 = 210529716952763
BaseRepresentation
bin11000001101000110001101…
…111101111010110000000000
3111221220211011210110200202021
4120031012031331322300000
5102423112020420001430
61014223522242331224
731264662126214426
oct3015061575726000
9457824153420667
10106453146250240
1130a12586915389
12bb333bb359b14
13475264765350a
141c405072cb116
15c49155d2807a
hex60d18df7ac00

106453146250240 has 88 divisors (see below), whose sum is σ = 264168415423440. Its totient is φ = 41112939184128.

The previous prime is 106453146250189. The next prime is 106453146250247. The reversal of 106453146250240 is 42052641354601.

It is a super-2 number, since 2×1064531462502402 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106453146250247) 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, 358327902 + ... + 358624861.

It is an arithmetic number, because the mean of its divisors is an integer number (3001913811630).

Almost surely, 2106453146250240 is an apocalyptic number.

106453146250240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106453146250240 is an abundant number, since it is smaller than the sum of its proper divisors (157715269173200).

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

106453146250240 is an equidigital number, since it uses as much as digits as its factorization.

106453146250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716952817 (or 716952799 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 106453146250240 in words is "one hundred six trillion, four hundred fifty-three billion, one hundred forty-six million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1024 1160 1280 1856 2320 2560 3712 4640 5120 7424 9280 14848 18560 29696 37120 74240 148480 716952763 1433905526 2867811052 3584763815 5735622104 7169527630 11471244208 14339055260 20791630127 22942488416 28678110520 41583260254 45884976832 57356221040 83166520508 91769953664 103958150635 114712442080 166333041016 183539907328 207916301270 229424884160 332666082032 367079814656 415832602540 458849768320 665332164064 734159629312 831665205080 917699536640 1330664328128 1663330410160 1835399073280 2661328656256 3326660820320 3670798146560 5322657312512 6653321640640 10645314625024 13306643281280 21290629250048 26613286562560 53226573125120 106453146250240