Search a number
-
+
30731007040 = 2651311375351
BaseRepresentation
bin11100100111101101…
…011111010001000000
32221022200210220111221
4130213231133101000
51000414114211130
622041224044424
72135354151466
oct344755372100
987280726457
1030731007040
111203a941488
125b57903714
132b8996c946
1416b7574836
15becdc387a
hex727b5f440

30731007040 has 112 divisors (see below), whose sum is σ = 74288928384. Its totient is φ = 12107264000.

The previous prime is 30731007023. The next prime is 30731007059. The reversal of 30731007040 is 4070013703.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30731006996 and 30731007014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5740365 + ... + 5745715.

Almost surely, 230731007040 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 30731007040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37144464192).

30731007040 is an abundant number, since it is smaller than the sum of its proper divisors (43557921344).

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

30731007040 is a wasteful number, since it uses less digits than its factorization.

30731007040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The spelling of 30731007040 in words is "thirty billion, seven hundred thirty-one million, seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 131 137 160 262 274 320 524 548 655 685 1048 1096 1310 1370 2096 2192 2620 2740 4192 4384 5240 5351 5480 8384 8768 10480 10702 10960 17947 20960 21404 21920 26755 35894 41920 42808 43840 53510 71788 85616 89735 107020 143576 171232 179470 214040 287152 342464 358940 428080 574304 700981 717880 733087 856160 1148608 1401962 1435760 1466174 1712320 2803924 2871520 2932348 3504905 3665435 5607848 5743040 5864696 7009810 7330870 11215696 11729392 14019620 14661740 22431392 23458784 28039240 29323480 44862784 46917568 56078480 58646960 96034397 112156960 117293920 192068794 224313920 234587840 384137588 480171985 768275176 960343970 1536550352 1920687940 3073100704 3841375880 6146201408 7682751760 15365503520 30731007040