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42378125338920 = 23357347145389479
BaseRepresentation
bin10011010001010111011010…
…00110110110100100101000
312120001022100102022022110210
421220223231012312210220
521023310400041321140
6230044124135341120
711632501310642520
oct1150535506664450
9176038312268423
1042378125338920
1112559509a5a658
1249051b85217a0
131a85317591217
14a6717dc96680
154d7543ec1d80
hex268aed1b6928

42378125338920 has 128 divisors (see below), whose sum is σ = 145715152435200. Its totient is φ = 9658513802496.

The previous prime is 42378125338889. The next prime is 42378125338951. The reversal of 42378125338920 is 2983352187324.

It is an interprime number because it is at equal distance from previous prime (42378125338889) and next prime (42378125338951).

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, 72403260 + ... + 72986219.

It is an arithmetic number, because the mean of its divisors is an integer number (1138399628400).

Almost surely, 242378125338920 is an apocalyptic number.

42378125338920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42378125338920 is an abundant number, since it is smaller than the sum of its proper divisors (103337027096280).

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

42378125338920 is a wasteful number, since it uses less digits than its factorization.

42378125338920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145389847 (or 145389843 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 42378125338920 in words is "forty-two trillion, three hundred seventy-eight billion, one hundred twenty-five million, three hundred thirty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 347 420 694 840 1041 1388 1735 2082 2429 2776 3470 4164 4858 5205 6940 7287 8328 9716 10410 12145 13880 14574 19432 20820 24290 29148 36435 41640 48580 58296 72870 97160 145740 291480 145389479 290778958 436168437 581557916 726947395 872336874 1017726353 1163115832 1453894790 1744673748 2035452706 2180842185 2907789580 3053179059 3489347496 4070905412 4361684370 5088631765 5815579160 6106358118 8141810824 8723368740 10177263530 12212716236 15265895295 17446737480 20354527060 24425432472 30531790590 40709054120 50450149213 61063581180 100900298426 122127162360 151350447639 201800596852 252250746065 302700895278 353151044491 403601193704 504501492130 605401790556 706302088982 756752238195 1009002984260 1059453133473 1210803581112 1412604177964 1513504476390 1765755222455 2018005968520 2118906266946 2825208355928 3027008952780 3531510444910 4237812533892 5297265667365 6054017905560 7063020889820 8475625067784 10594531334730 14126041779640 21189062669460 42378125338920