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2120061640440 = 233543735628283
BaseRepresentation
bin11110110110011101100…
…001010101111011111000
321111200020202000010020210
4132312131201111323320
5234213341234443230
64301535354351120
7306112050416142
oct36663541257370
97450222003223
102120061640440
11748127587317
122a2a7042b4a0
13124bc8451273
147487c07dc92
153a2335abeb0
hex1ed9d855ef8

2120061640440 has 128 divisors (see below), whose sum is σ = 6597249373440. Its totient is φ = 544637592576.

The previous prime is 2120061640439. The next prime is 2120061640523. The reversal of 2120061640440 is 440461600212.

It is a happy number.

It is a super-2 number, since 2×21200616404402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2120061640398 and 2120061640407.

It is a congruent number.

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, 2437462 + ... + 3190821.

It is an arithmetic number, because the mean of its divisors is an integer number (51541010730).

Almost surely, 22120061640440 is an apocalyptic number.

2120061640440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120061640440 is an abundant number, since it is smaller than the sum of its proper divisors (4477187733000).

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

2120061640440 is a wasteful number, since it uses less digits than its factorization.

2120061640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628413 (or 5628409 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 2120061640440 in words is "two trillion, one hundred twenty billion, sixty-one million, six hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 73 86 120 129 146 172 215 219 258 292 344 365 430 438 516 584 645 730 860 876 1032 1095 1290 1460 1720 1752 2190 2580 2920 3139 4380 5160 6278 8760 9417 12556 15695 18834 25112 31390 37668 47085 62780 75336 94170 125560 188340 376680 5628283 11256566 16884849 22513132 28141415 33769698 45026264 56282830 67539396 84424245 112565660 135078792 168848490 225131320 242016169 337696980 410864659 484032338 675393960 726048507 821729318 968064676 1210080845 1232593977 1452097014 1643458636 1936129352 2054323295 2420161690 2465187954 2904194028 3286917272 3630242535 4108646590 4840323380 4930375908 5808388056 6162969885 7260485070 8217293180 9680646760 9860751816 12325939770 14520970140 16434586360 17667180337 24651879540 29041940280 35334360674 49303759080 53001541011 70668721348 88335901685 106003082022 141337442696 176671803370 212006164044 265007705055 353343606740 424012328088 530015410110 706687213480 1060030820220 2120061640440