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2240157088140 = 2235671663335089
BaseRepresentation
bin100000100110010011110…
…001000111100110001100
321221011020101202222101020
4200212103301013212030
5243200320203310030
64433040340514140
7320563116033546
oct40462361074614
97834211688336
102240157088140
11794055303734
123021a80ab950
1313332734705a
147a5d1d50696
153d411b18510
hex20993c4798c

2240157088140 has 96 divisors (see below), whose sum is σ = 6369905418240. Its totient is φ = 588103566336.

The previous prime is 2240157088067. The next prime is 2240157088189. The reversal of 2240157088140 is 418807510422.

It is a junction number, because it is equal to n+sod(n) for n = 2240157088092 and 2240157088101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6517716 + ... + 6852804.

It is an arithmetic number, because the mean of its divisors is an integer number (66353181440).

Almost surely, 22240157088140 is an apocalyptic number.

2240157088140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240157088140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184952709120).

2240157088140 is an abundant number, since it is smaller than the sum of its proper divisors (4129748330100).

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

2240157088140 is a wasteful number, since it uses less digits than its factorization.

2240157088140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336831 (or 336829 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 2240157088140 in words is "two trillion, two hundred forty billion, one hundred fifty-seven million, eighty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 1663 2010 3326 4020 4989 6652 8315 9978 16630 19956 24945 33260 49890 99780 111421 222842 334263 335089 445684 557105 668526 670178 1005267 1114210 1337052 1340356 1671315 1675445 2010534 2228420 3342630 3350890 4021068 5026335 6685260 6701780 10052670 20105340 22450963 44901926 67352889 89803852 112254815 134705778 224509630 269411556 336764445 449019260 557253007 673528890 1114506014 1347057780 1671759021 2229012028 2786265035 3343518042 5572530070 6687036084 8358795105 11145060140 16717590210 33435180420 37335951469 74671902938 112007854407 149343805876 186679757345 224015708814 373359514690 448031417628 560039272035 746719029380 1120078544070 2240157088140