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42731389740 = 223513215232767
BaseRepresentation
bin100111110010111111…
…010100001100101100
311002022000122111211110
4213302333110030230
51200003213432430
631344105552020
73041631551124
oct476277241454
9132260574743
1042731389740
1117138834636
1283467a5610
13404cc09700
1420d5251c84
1511a16bc7b0
hex9f2fd432c

42731389740 has 144 divisors (see below), whose sum is σ = 129691473408. Its totient is φ = 10507790592.

The previous prime is 42731389739. The next prime is 42731389777. The reversal of 42731389740 is 4798313724.

It is a super-2 number, since 2×427313897402 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42731389740.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15441837 + ... + 15444603.

It is an arithmetic number, because the mean of its divisors is an integer number (900635232).

Almost surely, 242731389740 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 42731389740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64845736704).

42731389740 is an abundant number, since it is smaller than the sum of its proper divisors (86960083668).

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

42731389740 is a wasteful number, since it uses less digits than its factorization.

42731389740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4328 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 42731389740 in words is "forty-two billion, seven hundred thirty-one million, three hundred eighty-nine thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1523 1690 2028 2535 2767 3046 3380 4569 5070 5534 6092 7615 8301 9138 10140 11068 13835 15230 16602 18276 19799 22845 27670 30460 33204 35971 39598 41505 45690 55340 59397 71942 79196 83010 91380 98995 107913 118794 143884 166020 179855 197990 215826 237588 257387 296985 359710 395980 431652 467623 514774 539565 593970 719420 772161 935246 1029548 1079130 1187940 1286935 1402869 1544322 1870492 2158260 2338115 2573870 2805738 3088644 3860805 4214141 4676230 5147740 5611476 7014345 7721610 8428282 9352460 12642423 14028690 15443220 16856564 21070705 25284846 28057380 42141410 50569692 54783833 63212115 84282820 109567666 126424230 164351499 219135332 252848460 273919165 328702998 547838330 657405996 712189829 821757495 1095676660 1424379658 1643514990 2136569487 2848759316 3287029980 3560949145 4273138974 7121898290 8546277948 10682847435 14243796580 21365694870 42731389740