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1406652146144 = 25724320862781
BaseRepresentation
bin10100011110000011000…
…000000110000111100000
311222110211000011211110222
4110132003000012013200
5141021310422134034
62554112421142212
7203425102651100
oct24360300060740
94873730154428
101406652146144
114a2615513133
121a8750b5a968
13a2853b2871b
144c121c97200
15268cc16612e
hex147830061e0

1406652146144 has 72 divisors (see below), whose sum is σ = 3296403007128. Its totient is φ = 588831102720.

The previous prime is 1406652146129. The next prime is 1406652146191. The reversal of 1406652146144 is 4416412566041.

It is a super-2 number, since 2×14066521461442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1406652146095 and 1406652146104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10363967 + ... + 10498814.

It is an arithmetic number, because the mean of its divisors is an integer number (45783375099).

Almost surely, 21406652146144 is an apocalyptic number.

1406652146144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1406652146144 is an abundant number, since it is smaller than the sum of its proper divisors (1889750860984).

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

1406652146144 is a wasteful number, since it uses less digits than its factorization.

1406652146144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20862848 (or 20862833 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 1406652146144 in words is "one trillion, four hundred six billion, six hundred fifty-two million, one hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 86 98 112 172 196 224 301 344 392 602 688 784 1204 1376 1568 2107 2408 4214 4816 8428 9632 16856 33712 67424 20862781 41725562 83451124 146039467 166902248 292078934 333804496 584157868 667608992 897099583 1022276269 1168315736 1794199166 2044552538 2336631472 3588398332 4089105076 4673262944 6279697081 7176796664 8178210152 12559394162 14353593328 16356420304 25118788324 28707186656 32712840608 43957879567 50237576648 87915759134 100475153296 175831518268 200950306592 351663036536 703326073072 1406652146144