Search a number
-
+
40103311032 = 23331712798539
BaseRepresentation
bin100101010110010101…
…111111011010111000
310211111212110021121000
4211112111333122320
51124112421423112
630231225045000
72616540343101
oct452625773270
9124455407530
1040103311032
111600a301164
127932626760
133a215b5155
141d261c13a8
15109aae27dc
hex95657f6b8

40103311032 has 128 divisors (see below), whose sum is σ = 118056960000. Its totient is φ = 12570121728.

The previous prime is 40103311021. The next prime is 40103311067. The reversal of 40103311032 is 23011330104.

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

It is a junction number, because it is equal to n+sod(n) for n = 40103310996 and 40103311014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4692219 + ... + 4700757.

It is an arithmetic number, because the mean of its divisors is an integer number (922320000).

Almost surely, 240103311032 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 40103311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59028480000).

40103311032 is an abundant number, since it is smaller than the sum of its proper divisors (77953648968).

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

40103311032 is a wasteful number, since it uses less digits than its factorization.

40103311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9850 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 40103311032 its reverse (23011330104), we get a palindrome (63114641136).

The spelling of 40103311032 in words is "forty billion, one hundred three million, three hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1279 1836 2558 3672 3837 5116 7674 8539 10232 11511 15348 17078 21743 23022 25617 30696 34156 34533 43486 46044 51234 65229 68312 69066 76851 86972 92088 102468 130458 138132 145163 153702 173944 195687 204936 230553 260916 276264 290326 307404 391374 435489 461106 521832 580652 587061 614808 782748 870978 922212 1161304 1174122 1306467 1565496 1741956 1844424 2348244 2612934 3483912 3919401 4696488 5225868 7838802 10451736 10921381 15677604 21842762 31355208 32764143 43685524 65528286 87371048 98292429 131056572 185663477 196584858 262113144 294877287 371326954 393169716 556990431 589754574 742653908 786339432 1113980862 1179509148 1485307816 1670971293 2227961724 2359018296 3341942586 4455923448 5012913879 6683885172 10025827758 13367770344 20051655516 40103311032