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31742857203148 = 227132412831278619
BaseRepresentation
bin1110011011110101101011…
…01110100100110111001100
311011101120212022000002002101
413031322311232210313030
513130033332421000043
6151302244533404444
76454226410236010
oct715726556446714
9134346768002071
1031742857203148
11a1290853a16a3
123687b8a799724
131493452b62410
147ba51093a540
153a0a87d6824d
hex1cdeb5ba4dcc

31742857203148 has 96 divisors (see below), whose sum is σ = 68895564362240. Its totient is φ = 12461308738560.

The previous prime is 31742857203137. The next prime is 31742857203163. The reversal of 31742857203148 is 84130275824713.

It is a super-3 number, since 3×317428572031483 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 24186583 + ... + 25465201.

Almost surely, 231742857203148 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 31742857203148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34447782181120).

31742857203148 is an abundant number, since it is smaller than the sum of its proper divisors (37152707159092).

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

31742857203148 is a wasteful number, since it uses less digits than its factorization.

31742857203148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279167 (or 1279165 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 55.

The spelling of 31742857203148 in words is "thirty-one trillion, seven hundred forty-two billion, eight hundred fifty-seven million, two hundred three thousand, one hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 241 283 364 482 566 964 1132 1687 1981 3133 3374 3679 3962 6266 6748 7358 7924 12532 14716 21931 25753 43862 51506 68203 87724 103012 136406 272812 477421 886639 954842 1278619 1773278 1909684 2557238 3546556 5114476 6206473 8950333 12412946 16622047 17900666 24825892 33244094 35801332 66488188 116354329 232708658 308147179 361849177 465417316 616294358 723698354 1232588716 1447396708 2157030253 2532944239 4005913327 4314060506 4704039301 5065888478 8011826654 8628121012 9408078602 10131776956 16023653308 18816157204 28041393289 32928275107 56082786578 65856550214 87205651657 112165573156 131713100428 174411303314 348822606628 610439561599 1133673471541 1220879123198 2267346943082 2441758246396 4534693886164 7935714300787 15871428601574 31742857203148