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148434513984 = 263453512
BaseRepresentation
bin1000101000111101100…
…0101111000001000000
3112012010122201120210000
42022033120233001000
54412443213421414
6152105002440000
713503226360041
oct2121730570100
9465118646700
10148434513984
1157a50460359
1224926503000
1310cc713c183
1472818c28c8
153cdb44bb09
hex228f62f040

148434513984 has 105 divisors (see below), whose sum is σ = 440088643951. Its totient is φ = 49468924800.

The previous prime is 148434513943. The next prime is 148434513991. The reversal of 148434513984 is 489315434841.

The square root of 148434513984 is 385272.

It is a perfect power (a square), and thus also a powerful number.

148434513984 is a `hidden beast` number, since 1 + 4 + 8 + 4 + 34 + 513 + 98 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 148434513984.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27736909 + ... + 27742259.

Almost surely, 2148434513984 is an apocalyptic number.

148434513984 is the 385272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148434513984

148434513984 is an abundant number, since it is smaller than the sum of its proper divisors (291654129967).

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

148434513984 is an frugal number, since it uses more digits than its factorization.

148434513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726 (or 5356 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 148434513984 in words is "one hundred forty-eight billion, four hundred thirty-four million, five hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5351 10702 16053 21404 32106 42808 48159 64212 85616 96318 128424 144477 171232 192636 256848 288954 342464 385272 433431 513696 577908 770544 866862 1027392 1155816 1541088 1733724 2311632 3082176 3467448 4623264 6934896 9246528 13869792 27739584 28633201 57266402 85899603 114532804 171799206 229065608 257698809 343598412 458131216 515397618 687196824 773096427 916262432 1030795236 1374393648 1546192854 1832524864 2061590472 2319289281 2748787296 3092385708 4123180944 4638578562 5497574592 6184771416 8246361888 9277157124 12369542832 16492723776 18554314248 24739085664 37108628496 49478171328 74217256992 148434513984