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31403145150 = 2355213198817
BaseRepresentation
bin11101001111110001…
…011111011110111110
310000001112120001200000
4131033301133132332
51003303201121100
622232034215130
72161125221016
oct351761373676
9100045501600
1031403145150
1112355290823
126104a244a6
132c65ca52c0
14173c938c46
15c3bde0900
hex74fc5f7be

31403145150 has 144 divisors (see below), whose sum is σ = 94225417104. Its totient is φ = 7729966080.

The previous prime is 31403145133. The next prime is 31403145203. The reversal of 31403145150 is 5154130413.

It is a happy number.

31403145150 is a `hidden beast` number, since 3 + 140 + 3 + 1 + 4 + 515 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58542 + ... + 257358.

Almost surely, 231403145150 is an apocalyptic number.

31403145150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31403145150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47112708552).

31403145150 is an abundant number, since it is smaller than the sum of its proper divisors (62822271954).

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

31403145150 is a wasteful number, since it uses less digits than its factorization.

31403145150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198857 (or 198840 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 31403145150 its reverse (5154130413), we get a palindrome (36557275563).

The spelling of 31403145150 in words is "thirty-one billion, four hundred three million, one hundred forty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 130 135 150 162 195 225 234 243 270 325 351 390 405 450 486 585 650 675 702 810 975 1053 1170 1215 1350 1755 1950 2025 2106 2430 2925 3159 3510 4050 5265 5850 6075 6318 8775 10530 12150 15795 17550 26325 31590 52650 78975 157950 198817 397634 596451 994085 1192902 1789353 1988170 2584621 2982255 3578706 4970425 5169242 5368059 5964510 7753863 8946765 9940850 10736118 12923105 14911275 15507726 16104177 17893530 23261589 25846210 26840295 29822550 32208354 38769315 44733825 46523178 48312531 53680590 64615525 69784767 77538630 80520885 89467650 96625062 116307945 129231050 134201475 139569534 161041770 193846575 209354301 232615890 241562655 268402950 348923835 387693150 402604425 418708602 483125310 581539725 628062903 697847670 805208850 1046771505 1163079450 1207813275 1256125806 1744619175 2093543010 2415626550 3140314515 3489238350 5233857525 6280629030 10467715050 15701572575 31403145150