Search a number
-
+
150520423440 = 24354118738167
BaseRepresentation
bin1000110000101110110…
…1110110010000010000
3112101112000201202121210
42030023231312100100
54431231212022230
6153051555020120
713606015326522
oct2141355662020
9471460652553
10150520423440
1158920944a72
1225208b9a640
131126a33561a
1473dc941a12
153dae62deb0
hex230bb76410

150520423440 has 160 divisors (see below), whose sum is σ = 478307886336. Its totient is φ = 39134085120.

The previous prime is 150520423439. The next prime is 150520423489. The reversal of 150520423440 is 44324025051.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 150520423398 and 150520423407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18426237 + ... + 18434403.

Almost surely, 2150520423440 is an apocalyptic number.

150520423440 is a gapful number since it is divisible by the number (10) 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 150520423440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239153943168).

150520423440 is an abundant number, since it is smaller than the sum of its proper divisors (327787462896).

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

150520423440 is a wasteful number, since it uses less digits than its factorization.

150520423440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10097 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 150520423440 its reverse (44324025051), we get a palindrome (194844448491).

The spelling of 150520423440 in words is "one hundred fifty billion, five hundred twenty million, four hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1873 1968 2460 3280 3746 4920 5619 7492 8167 9365 9840 11238 14984 16334 18730 22476 24501 28095 29968 32668 37460 40835 44952 49002 56190 65336 74920 76793 81670 89904 98004 112380 122505 130672 149840 153586 163340 196008 224760 230379 245010 307172 326680 334847 383965 392016 449520 460758 490020 614344 653360 669694 767930 921516 980040 1004541 1151895 1228688 1339388 1535860 1674235 1843032 1960080 2009082 2303790 2678776 3071720 3348470 3686064 4018164 4607580 5022705 5357552 6143440 6696940 8036328 9215160 10045410 13393880 15296791 16072656 18430320 20090820 26787760 30593582 40181640 45890373 61187164 76483955 80363280 91780746 122374328 152967910 183561492 229451865 244748656 305935820 367122984 458903730 611871640 627168431 734245968 917807460 1223743280 1254336862 1835614920 1881505293 2508673724 3135842155 3671229840 3763010586 5017347448 6271684310 7526021172 9407526465 10034694896 12543368620 15052042344 18815052930 25086737240 30104084688 37630105860 50173474480 75260211720 150520423440