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400022204224416 = 25356321347346711
BaseRepresentation
bin101101011110100010110110…
…1011000101001001110100000
31221110100202020012102120211220
41122331011231120221032200
5404412430433240140131
63534435355204335040
7150154436062501434
oct13275055530511640
91843322205376756
10400022204224416
11106506511800094
1238a46b969a4480
1314228c167a5a97
1470ad26c58a9c4
15313a76764ce96
hex16bd16d6293a0

400022204224416 has 96 divisors (see below), whose sum is σ = 1051975709987328. Its totient is φ = 133097275933440.

The previous prime is 400022204224369. The next prime is 400022204224453. The reversal of 400022204224416 is 614422402220004.

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

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, 1153589301 + ... + 1153936011.

It is an arithmetic number, because the mean of its divisors is an integer number (10958080312368).

Almost surely, 2400022204224416 is an apocalyptic number.

It is an amenable number.

400022204224416 is an abundant number, since it is smaller than the sum of its proper divisors (651953505762912).

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

400022204224416 is a wasteful number, since it uses less digits than its factorization.

400022204224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368634 (or 368626 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 400022204224416 in words is "four hundred trillion, twenty-two billion, two hundred four million, two hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 563 1126 1689 2252 3378 4504 6756 9008 13512 18016 21347 27024 42694 54048 64041 85388 128082 170776 256164 341552 346711 512328 683104 693422 1024656 1040133 1386844 2049312 2080266 2773688 4160532 5547376 8321064 11094752 12018361 16642128 24036722 33284256 36055083 48073444 72110166 96146888 144220332 192293776 195198293 288440664 384587552 390396586 576881328 585594879 780793172 1153762656 1171189758 1561586344 2342379516 3123172688 4684759032 6246345376 7401239717 9369518064 14802479434 18739036128 22203719151 29604958868 44407438302 59209917736 88814876604 118419835472 177629753208 236839670944 355259506416 710519012832 4166897960671 8333795921342 12500693882013 16667591842684 25001387764026 33335183685368 50002775528052 66670367370736 100005551056104 133340734741472 200011102112208 400022204224416