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40712123040 = 2535710311941
BaseRepresentation
bin100101111010101000…
…011011001010100000
310220002022001010122220
4211322220123022200
51131334300414130
630411454031040
72640612223161
oct457250331240
9126068033586
1040712123040
11162a1a28686
127a824a8480
133aba777944
141d82dbd768
1510d42a1410
hex97aa1b2a0

40712123040 has 96 divisors (see below), whose sum is σ = 128271983616. Its totient is φ = 10854128640.

The previous prime is 40712122999. The next prime is 40712123071. The reversal of 40712123040 is 4032121704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40712123040.

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, 3403470 + ... + 3415410.

It is an arithmetic number, because the mean of its divisors is an integer number (1336166496).

Almost surely, 240712123040 is an apocalyptic number.

40712123040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40712123040 is an abundant number, since it is smaller than the sum of its proper divisors (87559860576).

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

40712123040 is a wasteful number, since it uses less digits than its factorization.

40712123040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19062 (or 19054 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 40712123040 its reverse (4032121704), we get a palindrome (44744244744).

The spelling of 40712123040 in words is "forty billion, seven hundred twelve million, one hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 7103 11941 14206 21309 23882 28412 35515 35823 42618 47764 56824 59705 71030 71646 85236 95528 106545 113648 119410 142060 143292 170472 179115 191056 213090 227296 238820 284120 286584 340944 358230 382112 426180 477640 568240 573168 681888 716460 852360 955280 1136480 1146336 1432920 1704720 1910560 2865840 3409440 5731680 84816923 169633846 254450769 339267692 424084615 508901538 678535384 848169230 1017803076 1272253845 1357070768 1696338460 2035606152 2544507690 2714141536 3392676920 4071212304 5089015380 6785353840 8142424608 10178030760 13570707680 20356061520 40712123040