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145909143380 = 2257211131041167
BaseRepresentation
bin1000011111100011011…
…1001101011101010100
3111221121122210110120102
42013320313031131110
54342310220042010
6151010231153232
713353523153400
oct2077067153524
9457548713512
10145909143380
11569749a9010
1224340815818
13109b3b98c40
1470c234a100
153bde8adba5
hex21f8dcd754

145909143380 has 144 divisors (see below), whose sum is σ = 418749440256. Its totient is φ = 41979813120.

The previous prime is 145909143323. The next prime is 145909143383. The reversal of 145909143380 is 83341909541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145909143383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380444 + ... + 660723.

It is an arithmetic number, because the mean of its divisors is an integer number (2907982224).

Almost surely, 2145909143380 is an apocalyptic number.

145909143380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145909143380 is an abundant number, since it is smaller than the sum of its proper divisors (272840296876).

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

145909143380 is a wasteful number, since it uses less digits than its factorization.

145909143380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041214 (or 1041205 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 47.

The spelling of 145909143380 in words is "one hundred forty-five billion, nine hundred nine million, one hundred forty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 1041167 2082334 4164668 5205835 7288169 10411670 11452837 13535171 14576338 20823340 22905674 27070342 29152676 36440845 45811348 51017183 54140684 57264185 67675855 72881690 80169859 94746197 102034366 114528370 135351710 145763380 148886881 160339718 189492394 204068732 229056740 255085915 270703420 297773762 320679436 378984788 400849295 473730985 510171830 561189013 595547524 663223379 744434405 801698590 947461970 1020343660 1042208167 1122378026 1326446758 1488868810 1603397180 1894923940 2084416334 2244756052 2652893516 2805945065 2977737620 3316116895 4168832668 5211040835 5611890130 6632233790 7295457169 10422081670 11223780260 13264467580 14590914338 20844163340 29181828676 36477285845 72954571690 145909143380