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2340721257252 = 2237413119217907
BaseRepresentation
bin100010000011111101110…
…110111110101100100100
322021202210220000002011020
4202003331312332230210
5301322244120213002
64551151300011140
7331053153256140
oct42037566765444
98252726002136
102340721257252
118227701443a4
12319792990ab0
1313c9629b8371
1481411cac220
1540d4a6442bc
hex220fddbeb24

2340721257252 has 96 divisors (see below), whose sum is σ = 6396244807680. Its totient is φ = 652253671680.

The previous prime is 2340721257239. The next prime is 2340721257263. The reversal of 2340721257252 is 2527521270432.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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, 10632883 + ... + 10850789.

It is an arithmetic number, because the mean of its divisors is an integer number (66627550080).

Almost surely, 22340721257252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340721257252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198122403840).

2340721257252 is an abundant number, since it is smaller than the sum of its proper divisors (4055523550428).

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

2340721257252 is a wasteful number, since it uses less digits than its factorization.

2340721257252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221081 (or 221079 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 42.

The spelling of 2340721257252 in words is "two trillion, three hundred forty billion, seven hundred twenty-one million, two hundred fifty-seven thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3119 3444 6238 9357 12476 18714 21833 37428 43666 65499 87332 127879 130998 217907 255758 261996 383637 435814 511516 653721 767274 871628 895153 1307442 1525349 1534548 1790306 2614884 2685459 3050698 3580612 4576047 5370918 6101396 8934187 9152094 10741836 17868374 18304188 26802561 35736748 53605122 62539309 107210244 125078618 187617927 250157236 375235854 679651933 750471708 1359303866 2038955799 2718607732 4077911598 4757563531 8155823196 9515127062 14272690593 19030254124 27865729253 28545381186 55731458506 57090762372 83597187759 111462917012 167194375518 195060104771 334388751036 390120209542 585180314313 780240419084 1170360628626 2340721257252