Search a number
-
+
1040214101040 = 243252949818683
BaseRepresentation
bin11110010001100011001…
…01111000110000110000
310200102222022100102101200
433020301211320300300
5114020324302213130
62113511234131200
7135103321654062
oct17106145706060
93612868312350
101040214101040
11371174818244
12149725720b00
13771268017ba
14384bd227732
151c0d1e40760
hexf231978c30

1040214101040 has 120 divisors (see below), whose sum is σ = 3613847337360. Its totient is φ = 267825234432.

The previous prime is 1040214101033. The next prime is 1040214101053. The reversal of 1040214101040 is 401014120401.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24888462 + ... + 24930221.

It is an arithmetic number, because the mean of its divisors is an integer number (30115394478).

Almost surely, 21040214101040 is an apocalyptic number.

1040214101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040214101040 is an abundant number, since it is smaller than the sum of its proper divisors (2573633236320).

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

1040214101040 is a wasteful number, since it uses less digits than its factorization.

1040214101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49818731 (or 49818722 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1040214101040 its reverse (401014120401), we get a palindrome (1441228221441).

The spelling of 1040214101040 in words is "one trillion, forty billion, two hundred fourteen million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 20880 49818683 99637366 149456049 199274732 249093415 298912098 398549464 448368147 498186830 597824196 747280245 797098928 896736294 996373660 1195648392 1444741807 1494560490 1793472588 1992747320 2241840735 2391296784 2889483614 2989120980 3586945176 3985494640 4334225421 4483681470 5778967228 5978241960 7173890352 7223709035 8668450842 8967362940 11557934456 11956483920 13002676263 14447418070 17336901684 17934725880 21671127105 23115868912 26005352526 28894836140 34673803368 35869451760 43342254210 52010705052 57789672280 65013381315 69347606736 86684508420 104021410104 115579344560 130026762630 173369016840 208042820208 260053525260 346738033680 520107050520 1040214101040