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42227361280 = 295132395309
BaseRepresentation
bin100111010100111100…
…100110011000000000
311000222220020012202201
4213110330212120000
51142440201030110
631222102522544
73023301435316
oct472474463000
9130886205681
1042227361280
11169aa276595
128225a36454
133c9c673b10
14208832c0b6
15117230ab3a
hex9d4f26600

42227361280 has 160 divisors (see below), whose sum is σ = 109511740800. Its totient is φ = 15523479552.

The previous prime is 42227361277. The next prime is 42227361283. The reversal of 42227361280 is 8216372224.

It is an interprime number because it is at equal distance from previous prime (42227361277) and next prime (42227361283).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42227361283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7951266 + ... + 7956574.

It is an arithmetic number, because the mean of its divisors is an integer number (684448380).

Almost surely, 242227361280 is an apocalyptic number.

42227361280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42227361280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54755870400).

42227361280 is an abundant number, since it is smaller than the sum of its proper divisors (67284379520).

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

42227361280 is a wasteful number, since it uses less digits than its factorization.

42227361280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 42227361280 in words is "forty-two billion, two hundred twenty-seven million, three hundred sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 239 256 260 320 416 478 512 520 640 832 956 1040 1195 1280 1664 1912 2080 2390 2560 3107 3328 3824 4160 4780 5309 6214 6656 7648 8320 9560 10618 12428 15296 15535 16640 19120 21236 24856 26545 30592 31070 33280 38240 42472 49712 53090 61184 62140 69017 76480 84944 99424 106180 122368 124280 138034 152960 169888 198848 212360 248560 276068 305920 339776 345085 397696 424720 497120 552136 611840 679552 690170 795392 849440 994240 1104272 1268851 1359104 1380340 1590784 1698880 1988480 2208544 2537702 2718208 2760680 3397760 3976960 4417088 5075404 5521360 6344255 6795520 7953920 8834176 10150808 11042720 12688510 13591040 16495063 17668352 20301616 22085440 25377020 32990126 35336704 40603232 44170880 50754040 65980252 81206464 82475315 88341760 101508080 131960504 162412928 164950630 176683520 203016160 263921008 324825856 329901260 406032320 527842016 649651712 659802520 812064640 1055684032 1319605040 1624129280 2111368064 2639210080 3248258560 4222736128 5278420160 8445472256 10556840320 21113680640 42227361280