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40242453600 = 2535289188401
BaseRepresentation
bin100101011110101000…
…110001110001100000
310211212120021110022110
4211132220301301200
51124404032003400
630253115235320
72623150132416
oct453650616140
9124776243273
1040242453600
11160808a8018
127971148b40
133a4438212b
141d3a8812b6
1510a7e29e50
hex95ea31c60

40242453600 has 144 divisors (see below), whose sum is σ = 132461678160. Its totient is φ = 10610688000.

The previous prime is 40242453583. The next prime is 40242453607. The reversal of 40242453600 is 635424204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40242453607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119400 + ... + 307800.

It is an arithmetic number, because the mean of its divisors is an integer number (919872765).

Almost surely, 240242453600 is an apocalyptic number.

40242453600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40242453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66230839080).

40242453600 is an abundant number, since it is smaller than the sum of its proper divisors (92219224560).

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

40242453600 is a wasteful number, since it uses less digits than its factorization.

40242453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188513 (or 188500 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 40242453600 its reverse (635424204), we get a palindrome (40877877804).

The spelling of 40242453600 in words is "forty billion, two hundred forty-two million, four hundred fifty-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 89 96 100 120 150 160 178 200 240 267 300 356 400 445 480 534 600 712 800 890 1068 1200 1335 1424 1780 2136 2225 2400 2670 2848 3560 4272 4450 5340 6675 7120 8544 8900 10680 13350 14240 17800 21360 26700 35600 42720 53400 71200 106800 188401 213600 376802 565203 753604 942005 1130406 1507208 1884010 2260812 2826015 3014416 3768020 4521624 4710025 5652030 6028832 7536040 9043248 9420050 11304060 14130075 15072080 16767689 18086496 18840100 22608120 28260150 30144160 33535378 37680200 45216240 50303067 56520300 67070756 75360400 83838445 90432480 100606134 113040600 134141512 150720800 167676890 201212268 226081200 251515335 268283024 335353780 402424536 419192225 452162400 503030670 536566048 670707560 804849072 838384450 1006061340 1257576675 1341415120 1609698144 1676768900 2012122680 2515153350 2682830240 3353537800 4024245360 5030306700 6707075600 8048490720 10060613400 13414151200 20121226800 40242453600