Search a number
-
+
10344174230928 = 2434789175329389
BaseRepresentation
bin1001011010000111000011…
…0101001001110110010000
31100121220010021202201102110
42112201300311021312100
52323434332100342203
634000014213145320
72115225165134136
oct226416065116620
940556107681373
1010344174230928
113328a3775488a
1211b092b02b240
135a05b3a920c5
1427a936d87756
1512e1207c7d03
hex96870d49d90

10344174230928 has 160 divisors (see below), whose sum is σ = 27614336140800. Its totient is φ = 3334760275968.

The previous prime is 10344174230927. The next prime is 10344174231007. The reversal of 10344174230928 is 82903247144301.

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

It is not an unprimeable number, because it can be changed into a prime (10344174230927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351959658 + ... + 351989046.

It is an arithmetic number, because the mean of its divisors is an integer number (172589600880).

Almost surely, 210344174230928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10344174230928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807168070400).

10344174230928 is an abundant number, since it is smaller than the sum of its proper divisors (17270161909872).

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

10344174230928 is a wasteful number, since it uses less digits than its factorization.

10344174230928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31289 (or 31283 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 10344174230928 in words is "ten trillion, three hundred forty-four billion, one hundred seventy-four million, two hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 89 94 141 178 188 267 282 356 376 534 564 712 752 1068 1128 1424 1753 2136 2256 3506 4183 4272 5259 7012 8366 10518 12549 14024 16732 21036 25098 28048 29389 33464 42072 50196 58778 66928 82391 84144 88167 100392 117556 156017 164782 176334 200784 235112 247173 312034 329564 352668 468051 470224 494346 624068 659128 705336 936102 988692 1248136 1318256 1381283 1410672 1872204 1977384 2496272 2615621 2762566 3744408 3954768 4143849 5231242 5525132 7332799 7488816 7846863 8287698 10462484 11050264 14665598 15693726 16575396 20924968 21998397 22100528 29331196 31387452 33150792 41849936 43996794 51518917 58662392 62774904 66301584 87993588 103037834 117324784 122934187 125549808 154556751 175987176 206075668 245868374 309113502 351974352 368802561 412151336 491736748 618227004 737605122 824302672 983473496 1236454008 1475210244 1966946992 2421389099 2472908016 2950420488 4585183613 4842778198 5900840976 7264167297 9170367226 9685556396 13755550839 14528334594 18340734452 19371112792 27511101678 29056669188 36681468904 38742225584 55022203356 58113338376 73362937808 110044406712 116226676752 215503629811 220088813424 431007259622 646510889433 862014519244 1293021778866 1724029038488 2586043557732 3448058076976 5172087115464 10344174230928