Search a number
-
+
38949144240 = 2435198541479
BaseRepresentation
bin100100010001100011…
…001100011010110000
310201112102200112101210
4210101203030122300
51114231440103430
625520515200120
72546124156246
oct442143143260
9121472615353
1038949144240
111557785a606
12766bba6040
13389944a616
141c56bc2796
15102e60c2b0
hex9118cc6b0

38949144240 has 80 divisors (see below), whose sum is σ = 127097222400. Its totient is φ = 9839782656.

The previous prime is 38949144239. The next prime is 38949144277. The reversal of 38949144240 is 4244194983.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38949144240.

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, 4266180 + ... + 4275299.

It is an arithmetic number, because the mean of its divisors is an integer number (1588715280).

Almost surely, 238949144240 is an apocalyptic number.

38949144240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38949144240 is an abundant number, since it is smaller than the sum of its proper divisors (88148078160).

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

38949144240 is a wasteful number, since it uses less digits than its factorization.

38949144240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8541514 (or 8541508 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 38949144240 in words is "thirty-eight billion, nine hundred forty-nine million, one hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 8541479 17082958 25624437 34165916 42707395 51248874 68331832 85414790 102497748 128122185 136663664 162288101 170829580 204995496 256244370 324576202 341659160 409990992 486864303 512488740 649152404 683318320 811440505 973728606 1024977480 1298304808 1622881010 1947457212 2049954960 2434321515 2596609616 3245762020 3894914424 4868643030 6491524040 7789828848 9737286060 12983048080 19474572120 38949144240