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142985709440 = 2757311029563
BaseRepresentation
bin1000010100101010011…
…1001100011110000000
3111200001220211122010022
42011022213030132000
54320313320200230
6145404155553012
713221214322360
oct2051247143600
9450056748108
10142985709440
1155704783902
122386575b768
1310639311a82
146cc5d949a0
153abcde11e5
hex214a9cc780

142985709440 has 128 divisors (see below), whose sum is σ = 403259627520. Its totient is φ = 47442216960.

The previous prime is 142985709359. The next prime is 142985709457. The reversal of 142985709440 is 44907589241.

142985709440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1429857094402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 375902 + ... + 653661.

It is an arithmetic number, because the mean of its divisors is an integer number (3150465840).

Almost surely, 2142985709440 is an apocalyptic number.

142985709440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142985709440 is an abundant number, since it is smaller than the sum of its proper divisors (260273918080).

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

142985709440 is a wasteful number, since it uses less digits than its factorization.

142985709440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029620 (or 1029608 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 142985709440 in words is "one hundred forty-two billion, nine hundred eighty-five million, seven hundred nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1736 1984 2170 2240 2480 3472 3968 4340 4480 4960 6944 8680 9920 13888 17360 19840 27776 34720 69440 138880 1029563 2059126 4118252 5147815 7206941 8236504 10295630 14413882 16473008 20591260 28827764 31916453 32946016 36034705 41182520 57655528 63832906 65892032 72069410 82365040 115311056 127665812 131784064 144138820 159582265 164730080 223415171 230622112 255331624 288277640 319164530 329460160 446830342 461244224 510663248 576555280 638329060 658920320 893660684 922488448 1021326496 1117075855 1153110560 1276658120 1787321368 2042652992 2234151710 2306221120 2553316240 3574642736 4085305984 4468303420 4612442240 5106632480 7149285472 8936606840 10213264960 14298570944 17873213680 20426529920 28597141888 35746427360 71492854720 142985709440