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402114344004 = 223323592743759
BaseRepresentation
bin1011101100111111110…
…00011111010001000100
31102102221001002011201000
411312133320133101010
523042012233002004
6504421225533300
741023524346152
oct5663770372104
91372831064630
10402114344004
1114559907833a
1265b23344230
132bbc46ac079
1415668d043d2
15a6d7345c39
hex5d9fe1f444

402114344004 has 96 divisors (see below), whose sum is σ = 1106284032000. Its totient is φ = 126037267488.

The previous prime is 402114343993. The next prime is 402114344029. The reversal of 402114344004 is 400443411204.

402114344004 is a `hidden beast` number, since 4 + 0 + 211 + 4 + 3 + 440 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1225324 + ... + 1518435.

It is an arithmetic number, because the mean of its divisors is an integer number (11523792000).

Almost surely, 2402114344004 is an apocalyptic number.

It is an amenable number.

402114344004 is an abundant number, since it is smaller than the sum of its proper divisors (704169687996).

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

402114344004 is a wasteful number, since it uses less digits than its factorization.

402114344004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2743854 (or 2743846 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 402114344004 its reverse (400443411204), we get a palindrome (802557755208).

The spelling of 402114344004 in words is "four hundred two billion, one hundred fourteen million, three hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 59 69 92 108 118 138 177 207 236 276 354 414 531 621 708 828 1062 1242 1357 1593 2124 2484 2714 3186 4071 5428 6372 8142 12213 16284 24426 36639 48852 73278 146556 2743759 5487518 8231277 10975036 16462554 24693831 32925108 49387662 63106457 74081493 98775324 126212914 148162986 161881781 189319371 252425828 296325972 323763562 378638742 485645343 567958113 647527124 757277484 971290686 1135916226 1456936029 1703874339 1942581372 2271832452 2913872058 3407748678 3723280963 4370808087 5827744116 6815497356 7446561926 8741616174 11169842889 14893123852 17483232348 22339685778 33509528667 44679371556 67019057334 100528586001 134038114668 201057172002 402114344004