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144172407744 = 2632298631011
BaseRepresentation
bin1000011001000101011…
…0000101101111000000
3111210010121211011011100
42012101112011233000
54330231114021434
6150122031014400
713262504150241
oct2062126055700
9453117734140
10144172407744
1156163624902
1223b3706a400
1310798129911
146d99820cc8
153b3c1a0699
hex2191585bc0

144172407744 has 84 divisors (see below), whose sum is σ = 427494024360. Its totient is φ = 46400309760.

The previous prime is 144172407703. The next prime is 144172407767. The reversal of 144172407744 is 447704271441.

144172407744 is a `hidden beast` number, since 1 + 4 + 4 + 172 + 407 + 74 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 144172407744.

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, 4298802 + ... + 4332209.

Almost surely, 2144172407744 is an apocalyptic number.

It is an amenable number.

144172407744 is an abundant number, since it is smaller than the sum of its proper divisors (283321616616).

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

144172407744 is a wasteful number, since it uses less digits than its factorization.

144172407744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631058 (or 8631045 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 144172407744 in words is "one hundred forty-four billion, one hundred seventy-two million, four hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5568 8352 16704 8631011 17262022 25893033 34524044 51786066 69048088 77679099 103572132 138096176 155358198 207144264 250299319 276192352 310716396 414288528 500598638 552384704 621432792 750897957 828577056 1001197276 1242865584 1501795914 1657154112 2002394552 2252693871 2485731168 3003591828 4004789104 4505387742 4971462336 6007183656 8009578208 9010775484 12014367312 16019156416 18021550968 24028734624 36043101936 48057469248 72086203872 144172407744