Search a number
-
+
940857415701444 = 223253493111853093
BaseRepresentation
bin1101010111101101000111000…
…0000011000001001111000100
311120101022002102222200100110100
43111323101300003001033010
51441310001441404421234
613133011532503124100
7402114463564246503
oct32573216003011704
94511262388610410
10940857415701444
1125287143107455a
1289634578a43630
13314ca6206797a7
1412849a55a8283a
1573b8cd9460399
hex357b4700c13c4

940857415701444 has 36 divisors (see below), whose sum is σ = 2423151646103916. Its totient is φ = 307701796329408.

The previous prime is 940857415701443. The next prime is 940857415701499. The reversal of 940857415701444 is 444107514758049.

940857415701444 is a `hidden beast` number, since 9 + 4 + 0 + 8 + 5 + 7 + 4 + 1 + 570 + 14 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 813317390438400 + 127540025263044 = 28518720^2 + 11293362^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (940857415701443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246555924639 + ... + 246555928454.

It is an arithmetic number, because the mean of its divisors is an integer number (67309767947331).

Almost surely, 2940857415701444 is an apocalyptic number.

It is an amenable number.

940857415701444 is an abundant number, since it is smaller than the sum of its proper divisors (1482294230402472).

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

940857415701444 is a wasteful number, since it uses less digits than its factorization.

940857415701444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493111853156 (or 493111853151 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 940857415701444 in words is "nine hundred forty trillion, eight hundred fifty-seven billion, four hundred fifteen million, seven hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 493111853093 986223706186 1479335559279 1972447412372 2958671118558 4438006677837 5917342237116 8876013355674 17752026711348 26134928213929 52269856427858 78404784641787 104539712855716 156809569283574 235214353925361 313619138567148 470428707850722 940857415701444