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31145543440 = 24511731313701
BaseRepresentation
bin11101000000011010…
…110100011100010000
32222101120211112112221
4131000122310130100
51002241224342230
622150313030424
72151546515434
oct350032643420
988346745487
1031145543440
1112232935850
1260526b5414
132c2480085b
1417166409c4
15c244a927a
hex7406b4710

31145543440 has 160 divisors (see below), whose sum is σ = 80711655552. Its totient is φ = 11082240000.

The previous prime is 31145543437. The next prime is 31145543467. The reversal of 31145543440 is 4434554113.

It is a junction number, because it is equal to n+sod(n) for n = 31145543396 and 31145543405.

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, 8413590 + ... + 8417290.

Almost surely, 231145543440 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 31145543440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40355827776).

31145543440 is an abundant number, since it is smaller than the sum of its proper divisors (49566112112).

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

31145543440 is a wasteful number, since it uses less digits than its factorization.

31145543440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 31145543440 in words is "thirty-one billion, one hundred forty-five million, five hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 131 146 176 220 262 292 365 440 524 584 655 730 803 880 1048 1168 1310 1441 1460 1606 2096 2620 2882 2920 3212 3701 4015 5240 5764 5840 6424 7205 7402 8030 9563 10480 11528 12848 14410 14804 16060 18505 19126 23056 28820 29608 32120 37010 38252 40711 47815 57640 59216 64240 74020 76504 81422 95630 105193 115280 148040 153008 162844 191260 203555 210386 270173 296080 325688 382520 407110 420772 484831 525965 540346 651376 765040 814220 841544 969662 1051930 1080692 1350865 1628440 1683088 1939324 2103860 2161384 2424155 2701730 2971903 3256880 3878648 4207720 4322768 4848310 5333141 5403460 5943806 7757296 8415440 9696620 10666282 10806920 11887612 14859515 19393240 21332564 21613840 23775224 26665705 29719030 35392663 38786480 42665128 47550448 53331410 59438060 70785326 85330256 106662820 118876120 141570652 176963315 213325640 237752240 283141304 353926630 389319293 426651280 566282608 707853260 778638586 1415706520 1557277172 1946596465 2831413040 3114554344 3893192930 6229108688 7786385860 15572771720 31145543440