Search a number
-
+
1540211020656 = 243711478866463
BaseRepresentation
bin10110011010011011101…
…110110001001101110000
312110020112221202122010220
4112122123232301031300
5200213323010130111
63135321351253040
7216163602443640
oct26323356611560
95406487678126
101540211020656
11544221a71370
1220a60567a180
13b231a111459
1454791c88520
152a0e7665e06
hex1669bbb1370

1540211020656 has 160 divisors (see below), whose sum is σ = 5066226597888. Its totient is φ = 391542961920.

The previous prime is 1540211020643. The next prime is 1540211020669. The reversal of 1540211020656 is 6560201120451.

It is an interprime number because it is at equal distance from previous prime (1540211020643) and next prime (1540211020669).

It is a super-4 number, since 4×15402110206564 (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 4259520 + ... + 4606943.

Almost surely, 21540211020656 is an apocalyptic number.

1540211020656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1540211020656 is an abundant number, since it is smaller than the sum of its proper divisors (3526015577232).

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

1540211020656 is a wasteful number, since it uses less digits than its factorization.

1540211020656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8866539 (or 8866533 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 1540211020656 in words is "one trillion, five hundred forty billion, two hundred eleven million, twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 47 48 56 66 77 84 88 94 112 132 141 154 168 176 188 231 264 282 308 329 336 376 462 517 528 564 616 658 752 924 987 1034 1128 1232 1316 1551 1848 1974 2068 2256 2632 3102 3619 3696 3948 4136 5264 6204 7238 7896 8272 10857 12408 14476 15792 21714 24816 28952 43428 57904 86856 173712 8866463 17732926 26599389 35465852 53198778 62065241 70931704 97531093 106397556 124130482 141863408 186195723 195062186 212795112 248260964 292593279 372391446 390124372 416723761 425590224 496521928 585186558 682717651 744782892 780248744 833447522 993043856 1170373116 1250171283 1365435302 1489565784 1560497488 1666895044 2048152953 2340746232 2500342566 2730870604 2917066327 2979131568 3333790088 4096305906 4583961371 4681492464 5000685132 5461741208 5834132654 6667580176 8192611812 8751198981 9167922742 10001370264 10923482416 11668265308 13751884113 16385223624 17502397962 18335845484 20002740528 23336530616 27503768226 32087729597 32770447248 35004795924 36671690968 46673061232 55007536452 64175459194 70009591848 73343381936 96263188791 110015072904 128350918388 140019183696 192526377582 220030145808 256701836776 385052755164 513403673552 770105510328 1540211020656