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153960422040 = 233252231917793
BaseRepresentation
bin1000111101100011000…
…0011001101010011000
3112201101202200210120100
42033120300121222120
510010302332001130
6154421202055400
714060165665125
oct2173060315230
9481352623510
10153960422040
115a32670a917
1225a0904a560
1311697c24459
14764776174c
154011637c60
hex23d8c19a98

153960422040 has 96 divisors (see below), whose sum is σ = 502615451520. Its totient is φ = 40871983104.

The previous prime is 153960422029. The next prime is 153960422113. The reversal of 153960422040 is 40224069351.

It is a happy number.

153960422040 is a `hidden beast` number, since 1 + 5 + 3 + 9 + 604 + 2 + 2 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153960421986 and 153960422004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 878617 + ... + 1039176.

It is an arithmetic number, because the mean of its divisors is an integer number (5235577620).

Almost surely, 2153960422040 is an apocalyptic number.

153960422040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153960422040 is an abundant number, since it is smaller than the sum of its proper divisors (348655029480).

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

153960422040 is a wasteful number, since it uses less digits than its factorization.

153960422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918033 (or 1918026 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 153960422040 in words is "one hundred fifty-three billion, nine hundred sixty million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 223 360 446 669 892 1115 1338 1784 2007 2230 2676 3345 4014 4460 5352 6690 8028 8920 10035 13380 16056 20070 26760 40140 80280 1917793 3835586 5753379 7671172 9588965 11506758 15342344 17260137 19177930 23013516 28766895 34520274 38355860 46027032 57533790 69040548 76711720 86300685 115067580 138081096 172601370 230135160 345202740 427667839 690405480 855335678 1283003517 1710671356 2138339195 2566007034 3421342712 3849010551 4276678390 5132014068 6415017585 7698021102 8553356780 10264028136 12830035170 15396042204 17106713560 19245052755 25660070340 30792084408 38490105510 51320140680 76980211020 153960422040