Search a number
-
+
138153306444 = 22347832951237
BaseRepresentation
bin1000000010101010010…
…1000010100101001100
3111012121010211010102120
42000222211002211030
54230414221301234
6143244452452540
712660365505036
oct2005245024514
9435533733376
10138153306444
1153654a37a1a
122293731a150
131004910380a
14698827cc56
1538d8a43049
hex202a94294c

138153306444 has 48 divisors (see below), whose sum is σ = 333182965248. Its totient is φ = 44528248768.

The previous prime is 138153306437. The next prime is 138153306457. The reversal of 138153306444 is 444603351831.

It is a junction number, because it is equal to n+sod(n) for n = 138153306396 and 138153306405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1428807 + ... + 1522430.

It is an arithmetic number, because the mean of its divisors is an integer number (6941311776).

Almost surely, 2138153306444 is an apocalyptic number.

It is an amenable number.

138153306444 is an abundant number, since it is smaller than the sum of its proper divisors (195029658804).

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

138153306444 is a wasteful number, since it uses less digits than its factorization.

138153306444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951374 (or 2951372 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 138153306444 in words is "one hundred thirty-eight billion, one hundred fifty-three million, three hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 47 83 94 141 166 188 249 282 332 498 564 996 3901 7802 11703 15604 23406 46812 2951237 5902474 8853711 11804948 17707422 35414844 138708139 244952671 277416278 416124417 489905342 554832556 734858013 832248834 979810684 1469716026 1664497668 2939432052 11512775537 23025551074 34538326611 46051102148 69076653222 138153306444